WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=arg1P0, 3-arg1P0 == 0, cost: 1 1: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1P1, (3+arg1-arg1P1 == 0 /\ -5+arg1 > 0), cost: 1 2: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1P2, (1+arg1-arg1P2 == 0 /\ -11+arg1 < 0 /\ -2+arg1 > 0 /\ -6+arg1 < 0), cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=arg1P0, 3-arg1P0 == 0, cost: 1 New rule: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=3, TRUE, cost: 1 Applied preprocessing Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1P1, (3+arg1-arg1P1 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f64_0_main_LT -> f64_0_main_LT : arg1'=3+arg1, -5+arg1 > 0, cost: 1 Applied preprocessing Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1P2, (1+arg1-arg1P2 == 0 /\ -11+arg1 < 0 /\ -2+arg1 > 0 /\ -6+arg1 < 0), cost: 1 New rule: f64_0_main_LT -> f64_0_main_LT : arg1'=1+arg1, (-2+arg1 > 0 /\ 6-arg1 > 0), cost: 1 Simplified rules Start location: __init 4: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=3, TRUE, cost: 1 5: f64_0_main_LT -> f64_0_main_LT : arg1'=3+arg1, -5+arg1 > 0, cost: 1 6: f64_0_main_LT -> f64_0_main_LT : arg1'=1+arg1, (-2+arg1 > 0 /\ 6-arg1 > 0), cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied nonterm Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=3+arg1, -5+arg1 > 0, cost: 1 New rule: f64_0_main_LT -> [3] : -5+arg1 > 0, cost: NONTERM Applied acceleration Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=3+arg1, -5+arg1 > 0, cost: 1 New rule: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1+3*n1, -5+arg1 > 0, cost: n1 Applied acceleration Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=1+arg1, (-2+arg1 > 0 /\ 6-arg1 > 0), cost: 1 New rule: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1+n3, (7-arg1-n3 > 0 /\ n3 >= 0 /\ -2+arg1 > 0), cost: n3 Applied instantiation Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1+n3, (7-arg1-n3 > 0 /\ n3 >= 0 /\ -2+arg1 > 0), cost: n3 New rule: f64_0_main_LT -> f64_0_main_LT : arg1'=6, (1 > 0 /\ -2+arg1 > 0 /\ 6-arg1 >= 0), cost: 6-arg1 Applied simplification Original rule: f64_0_main_LT -> f64_0_main_LT : arg1'=6, (1 > 0 /\ -2+arg1 > 0 /\ 6-arg1 >= 0), cost: 6-arg1 New rule: f64_0_main_LT -> f64_0_main_LT : arg1'=6, (-2+arg1 > 0 /\ -6+arg1 <= 0), cost: 6-arg1 Applied deletion Removed the following rules: 5 6 Accelerated simple loops Start location: __init 4: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=3, TRUE, cost: 1 7: f64_0_main_LT -> [3] : -5+arg1 > 0, cost: NONTERM 8: f64_0_main_LT -> f64_0_main_LT : arg1'=arg1+3*n1, -5+arg1 > 0, cost: n1 10: f64_0_main_LT -> f64_0_main_LT : arg1'=6, (-2+arg1 > 0 /\ -6+arg1 <= 0), cost: 6-arg1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=3, TRUE, cost: 1 Second rule: f64_0_main_LT -> f64_0_main_LT : arg1'=6, (-2+arg1 > 0 /\ -6+arg1 <= 0), cost: 6-arg1 New rule: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=6, (-3 <= 0 /\ 1 > 0), cost: 4 Applied deletion Removed the following rules: 7 8 10 Chained accelerated rules with incoming rules Start location: __init 4: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=3, TRUE, cost: 1 11: f1_0_main_ConstantStackPush -> f64_0_main_LT : arg1'=6, (-3 <= 0 /\ 1 > 0), cost: 4 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0